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Prog. Theor. Phys. Vol. 21 No. 6 (1959) pp. 867-878

[ Full Text PDF : FREE ACCESS (841K) ]

Characterization of (Y, Z)- and (Λ,Σ)-Modes

Takao Okabayashi

Department of Physics, University of Tokyo, Tokyo

(Received February 23, 1959)

Abstract:

New assignment of isotopic spin and the concepts of K-mesonic charge and of K-mesonic charge conjugation are introduced in order to characterize (Y, Z)- and (Λ,Σ)-modes. If the selection rule |ΔI| = 1/2 is assumed for weak interactions, suitable combinations of them can be expressed in terms of (Y, Z)-mode, and they are invariant under K-mesonic charge conjugation, and under the rotation in isotopic spin space, owing to the new assignment of isotopic spin. Then in decay processes neutral K-mesons appear always in (K10, K20)-mode. Strong interactions are naturally invariant under the rotation. Therefore the newly assigned isotopic spin can be treated as an absolutely conserved quantity in an approximation. The invariancy of strong interactions under K-mesonic charge conjugation is discussed. It is shown that characteristic features of K-mesonic charge can be united well with the model proposed in a previous article1). Thus, some close correlation between the three selection rules about hyperonic charge, isotopic spin and space parity, which characterize the strength of interactions is achieved.


URL : http://ptp.ipap.jp/link?PTP/21/867/
DOI : 10.1143/PTP.21.867

[ Full Text PDF : FREE ACCESS (841K) ] Citation:

References:

  1. T. Okabayashi, Prog. Theor. Phys. 20 (1958), 583[PTP].
    This article will be cited as (A) in the present text.
  2. M. Kawaguchi and K. Nishijima, Prog. Theor. Phys. 15 (1956), 180[PTP].
  3. R. H. Dalitz, Proc. Phys. Soc. A 69 (1956), 527.
  4. D. A. Glaser, 1958 Annual International Conference on High Energy Physics at CERN, especially the data obtained at Berkeley.
  5. G. Takeda and M. Kato, Prog. Theor. Phys. 21 (1959), 441[PTP].
  6. B. d'Espagnat, C. R. Acad. Sci. 245 (1957), 894.
  7. M. Gell-Mann, Phys. Rev. 106 (1957), 1296[APS].
  8. J. Tiomno, Nuovo Cim. 6 (1967), 69.
  9. A. Pais, Phys. Rev. 110 (1958), 574[APS].
  10. J. J. Sakurai, to be published.
  11. T. Okabayashi, Prog. Theor. Phys. 21 (1959), 653[PTP].
  12. B. d'Espagnat and J. Prentki, Nucl. Phys. 1 (1956), 33[Elsevier].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 25 No. 4 (1961) pp. 701-712 :
    A Remark on the Strangenss and Isotopic Spin for Leptons
    Takao Okabayashi, Seitaro Nakamura and Yoshio Nisiyama
  2. Progress of Theoretical Physics Vol. 29 No. 5 (1963) pp. 767-791 :
    The Effect of the Collective Motion of Pion Cloud on Weak Interactions
    Takao Okabayashi, Ikuko Hamamoto, Akira Hatano and Toshiko Saikan
  3. Progress of Theoretical Physics Vol. 30 No. 1 (1963) pp. 96-102 :
    Pion as the Field of Heaviness
    Takao Okabayashi
  4. Progress of Theoretical Physics Vol. 33 No. 4 (1965) pp. 676-691 :
    Bootstrap Mechanism and Symmetries of Strong Interactions
    Masao Yamada
  5. Progress of Theoretical Physics Vol. 34 No. 1 (1965) pp. 20-45 :
    An Approach to the Symmetry of Hadrons on the Basis of the Lie Group Sp(3). I
    Kazuhisa Shima and Kôsai Tanabe
  6. Progress of Theoretical Physics Vol. 34 No. 4 (1965) pp. 653-673 :
    Bootstrap Mechanism and Non-Leptonic Weak Interactions
    Masao Yamada
  7. Progress of Theoretical Physics Vol. 34 No. 6 (1965) pp. 1023-1039 :
    An Extension of Inversion with a Non-Abelian Group of Parity Tripod
    Takao Okabayashi
  8. Progress of Theoretical Physics Vol. 47 No. 4 (1972) pp. 1343-1366 :
    A Model for the Broken SU(3) Symmetry Based on the Non-Linear Realization of the Group
    Takao Okabayashi

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